PLEASE HELP!!!
The temperature in Country Y is at least 7 degrees colder than in Country X. Write an Inequality and graph it.
Solution:
Let temperature in Country Y be
y
and temperature in Country X be
.
"Temperature in Country Y is is at least 7 degrees colder than in Country X."
At least tells us that the inequality sign is
>=
and that the difference in temperature is at least 7
x-y>=7
x>=7+y
x-7>=y
y =7
in your own words.
2. What are the basic steps to be followed in graphing a two-variable linear inequality?
3. In the solution graph, why is the line
y =7
?
How can you find if a point is a solution to inequality?
Answers
Answer:
1)x-y>7
x>7+y
x-7=y
y =7
If it has to be at least 7 then 7 is less than all of them or equal to it.
2) Step 1: Always start by isolating the variable y on the left side of the inequality.
Step 2: Change the inequality to equality symbol. ...
Step 3: Graph the boundary line from step 2 in the X Y − XY- XY−plane. ...
Step 4: The last step is to shade one side or region of the boundary line.
3) The solution graph is y=7 because there is no possible x or x=0
you can find a point in an inequality in the shaded region of the graph. Any of the points in the shaded region work as a solution of the inequality
Hope I helped!!
Related Questions
Find x such that f(x) = 10 given f(x) = 4x+2
Answers
Answer:
x=2
Step-by-step explanation:
So you make the equation equal. f(x)=10 so you would put it as 10=4x+2, than you subtract two from both sides making it 8=4x and than divide both sides by 4 making it 2=x.
Answer:
[tex]\boxed {\boxed {\sf x=2}}[/tex]
Step-by-step explanation:
We know that:
[tex]f(x)=4x+2 \\f(x)= 10[/tex]
Both 4x+2 and 10 are equal to f(x). We can use substitution and set 4x+2 and 10 equal to each other.
[tex]4x+2=10[/tex]
Now, solve for x. Perform the inverse operations to isolate x on one side of the equation.
2 is being added to 4x. The inverse of addition is subtraction. Subtract 2 from both sides of the equation.
[tex]4x+2-2=10-2[/tex]
[tex]4x=10-2 \\[/tex]
[tex]4x=8[/tex]
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{4x}{4} =\frac{8}{4}[/tex]
[tex]x=\frac{8}{4}[/tex]
[tex]x=2[/tex]
For the function f(x)= 4x+2, when f(x)=20, x=2
how do u do this im confused
Answers
Answer:
Line one answers: -x^2. 2x^2. 0. 5x^2
Line two answers: -x^2. 12x^2. -2x^2. 8x^2
Line three answers: 4x^2. 8x^2. -x^2. x^2
Step-by-step explanation:
Answer:
-x^2. 2x^2. 0. 5x^2
-x^2. 12x^2. -2x^2. 8x^2
4x^2. 8x^2. -x^2. x^2
Step-by-step explanation:
What property should you use first to solve 14+c=39
Answers
Answer:
Subtraction
Step-by-step explanation:
what’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1
Answers
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -3
x = -2y - 1
Step 2: Solve for y
Substitution
Substitute in x: 3(-2y - 1) + 4y = -3Distribute 3: -6y - 3 + 4y = -3Combine like terms: -2y - 3 = -3Isolate y term: -2y = 0Isolate y: y = 0Step 3: Solve for x
Define equation: x = -2y - 1Substitute in y: x = -2(0) - 1Multiply: x = 0 - 1Subtract: x = -1At a bus station, buses depart at a rate of 4 every 10 minutes. At this rate, how many buses would depart in 1 hour?
Answers
Answer:
24 buses.
Step-by-step explanation:
10 minutes equals 4 buses.
There is a total of 60 minutes, so 60 ÷ 10 = 6.
Then 4 × 6 = 24 buses.
A recipe for shepherd's pie uses 3 cups potatoes, 2 cups carrots, 1 cup onions, 1 ½ cups ground round to create enough for 6 people. If you need to feel 16 people, how many cups of carrots do you need? Use scale factors and ratios to solve this problem. Remember to show your work.
Answers
Answer:
[tex]5\frac{1}{3}[/tex] cups of carrot.
Step-by-step explanation:
Let's set up proportional equation.
6 people need 2 cups of carrots
Let 16 people need x cups of carrots.
We could form ratio for number of people to cups of carrot used as
6:2
16:x
So, proportional equation would be
[tex]\frac{2}{6} =\frac{x}{16}[/tex]
Cross multiply
32=6 x
Divide both sides by 6.
x=[tex]\frac{32}{6}[/tex]
Divide to get mixed number
x=5[tex]\frac{2}{6}[/tex]
Simplify the fraction
x=[tex]5\frac{1}{3}[/tex] cups of carrot.
480/____=80
what does ____=???
Answers
z=32+41.9i
What are the real and imaginary parts of z?
--------------------------------------------------------------
A. Re(z) = 32 and Im(z) = 41.9
B. Re(z) = 32 and Im(z) = 41.9i
C. Re(z) = 41.9i and Im(z) = 32
D. Re(z) = 41.9 and Im(z) = 32
Answers
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’
7÷7/11=
Please explain for me
Answers
Answer:
11
Step-by-step explanation:
You have to first make the 7 into a fraction (7/1) then keep, change, flip.
You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!
Final answer:11
Please help me thank you
Answers
Answer:
the answer is A
Step-by-step explanation:
they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A
HELP!!!! I have never seen this. I will award big brain.
Answers
Step-by-step explanation:
Angles APD, DPC and CPB are supplementary. (Angles on a straight line)
Therefore Angle APD + Angle DPC + Angle CPB = 180°.
Since Angle DPC = 90° (Right angle),
Angle APD + Angle CPB = 180° - 90° = 90°.
=> (7x + 1) + (9x - 7) = 90
=> 16x - 6 = 90
=> x = 6
Hence arc measure of minor arc AD
= (7x + 1)° = [7(6) + 1]° = 43°.
Tyler converted 0.0000783 to scientific notation.
0.0000783 = 78.3 x 10-6
is he correct?
Answers
Let's convert your number to scientific notation.
0.0000783
Move the decimal point 5 places to the right.
7.83*10−5
Answer:
7.83 * [tex]10^{5}[/tex]
Answer: No , the coefficient should be 7.83
Step-by-step explanation:
Mr. Martinez is buying food for a party. Hamburger patties are sold in packages of 6 and hamburger buns are sold in packages of 8. If he wants to have an equal number of each, what is the LEAST number of hamburger patties and buns that Mr. Martinez will have to buy?
Enter the correct answer in the box.
Answers
Answer:
24 is the least number of hamburger patties and buns Mr. Martinez will have to buy.
Step-by-step explanation:
You need to find the LCM of 6 and 8. The number they have first have common is 24
uhh.i dumb the screenshot is here
Answers
Answer:
40
Step-by-step explanation:
Just use a calculator. I didn´t need to. My brother helped me a little
Which of the sets of ordered pairs represents a function? (1 point)
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
Answers
Answer:
Conclusion:
Both sets represent the function.
Step-by-step explanation:
We know that a function relates an input to an output.For example, a certain plant grows 10 cm each year. Thus, the height of the plant is associated with its age using the function
h (age) = age × 10
Thus, if the age of the plant is 2 years, the height is:
h(10) = 2 × 10 = 20 cm
Set P
P = {(6, −7), (3, −2), (−9, 2), (−5, −7)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are 6, 3, -9, and -5.
Thus, there are no duplicated inputs or x-values.
Therefore, the set P of ordered pairs represents a function.Set Q
Q = {(−7, 8), (4, −6), (−3, 1), (1, 5)}
The set P represents the function because the function relates an input to an output. In other words, here each input is related to exactly one output.
The x-values are -7, 4, -3, and 1.
Thus, there are no duplicated inputs or x-values.
Therefore, the set Q of ordered pairs also represents a function.Conclusion:
Both sets represent the function.
A student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she drank the remaining water. How much water, to the nearest ten 3 1milliliters does the student have left in the bottle?
Answers
Answer:
25\100*500=125
1/3*125=41.66
41.66 millilites is left in the bottle
Step-by-step explanation:
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
Answers
Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
Darnell created a scale drawing of the community garden in his town. The actual garden is 20 feet long. Darnell's scale drawing of
the community garden is 4 inches long
What scale did Darnell use to draw the garden?
O 2 inches equal 5 feet
o 1 inch equals 5 feet
o inch equals 1 foot
O 1 inch equals foot
Answers
The scale that Darnell used is required.
The scale that Darnell used is 1 inch equals 5 feet.
Scale diagrams
The length of the actual garden is 20 feet.
The scale drawing is 4 inches long
[tex]20\ \text{feet}=4\ \text{inches}[/tex]
Since, we are finding the inches to feet we divide the expression by [tex]4[/tex]
[tex]\dfrac{20}{4}\ \text{feet}=1\ \text{inch}[/tex]
[tex]1\ \text{inch}=5\ \text{feet}[/tex]
Learn more about scale diagrams:
https://brainly.com/question/25324744
Lin found the area of a rectangle with a of length 5 in and a width of 3 inches, to be 15 square inches. Lin creates another rectangle that is a scaled copy with a scale factor of 2. What is the area of the new rectangle? How did you find it?
Answers
Answer:
60in^2Step-by-step explanation:
Step one:
given data
lenght L= 5in
width W= 3 in
area= L*W
area= 5*3= 15in^2
Step two:
The rectangle was scaled by 2, this means that the dimensions were doubled
therefore the lenght and width will be
L=5*2= 10
W=3*2= 6
hence the area is
Area= 10*6= 60in^2
I need the value of X
Answers
Answer:
x=36
Step-by-step explanation:
By vertical angles we know that
[tex]72 = 2x\\\\x=\frac{72}{2}\\\\x=36[/tex]
Answer:
x = 36
Step-by-step explanation:
72 and 2x are vertical angles, so they are equal.
2x = 72
2x/2 = 72/2
x = 36
help pls!!!!!!!!!!!!!
Answers
The percentages, from left to right, are:
1) 56.25%
2) 18.75%
3) 18.75%
4) 6.25%
How to get the percentages?In this case, the 100% is 16.
We know that there are 9 individuals with black fur and black eyes, so we can write the equations:
100% = 16
X% = 9
We want to find the percentage X%. By combining these equations we get:
X% = (9/16)*100% = 56.25%
Now we can use the same equations for the other genotypes.
There are 3 units with black fur and red eyes, here the percentage is:
p = (3/16)*100% = 18.75%
There are 3 units with white fur and black eyes, so the percentage is:
p = (3/16)*100% = 18.75%
There is 1 unit with white fur and red eyes, so the percentage is:
p = (1/16)*100% = 6.25%
If you want to learn more about percentages:
https://brainly.com/question/843074
#SPJ1
Pls help it timed!!!!
Answers
Answer:
its subtraction property of equality
Step-by-step explanation:
it shows that the 3/4 next to the 16 was subtracted on both sides to cancel out on of the other 3/4 on the other side...
i uploaded a pic just incase u didnt understand
Hope this helps!!!
true Or false
1.inequalities are similar to equations
2.you never isolate the variable in an inequality '
Answers
if the scientific notation is 9.63x10^-3 what would it look like in standard form? MARKING BRAINLIEST!!!!
Answers
Answer:
.00963
Step-by-step explanation:
Since its 10^-3, the decimal point moves to the left 3 times. hope this helped :)
Fill in the blank pls
Answers
Step-by-step explanation:
Factors
hope it helpful
How many 1/5s are there in 8/10?
Please answer right away helpers!!!
The time is ticking by now.
Answers
4/5=8/10, therefore the answer is 4
Mariana is choosing a beverage to drink. She wants a beverage with no more than 3 grams of sugar per ounce. Which beverages meet Mariana's requirements?
Answers
Answer:
Step-by-step explanation:
The main beverage that would easily meet Mariana's requirements would be water as it contains no sugar. Other than these two flavored options that she can choose from would be to make home-made Ice-tea or lemonade. Therefore, she can choose the amount of sugar to add without going over her own requirements, but still having a delicious beverage to drink.
True or False. Horizontal translations move a graph up and down.
Answers
Answer:
false
Step-by-step explanation:
horizontal is left and right
f) Cosec2A + Cot4A = CotA – Cosec4A
Answers
Answer:
True (the sides are equal)
I hope this helps!
Find the value of X and Y
Answers
Answer:
Answer: x=4, y=10
Step-by-step explanation:
Lines and Angles
When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.
We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.
Linear angles always add up to 180°
We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:
29x - 3 + 15x + 7 = 180
Simplifying:
44x +4 = 180
Subtracting 4:
44x = 176
Dividing by 44:
x = 176/44
x = 4
Now below the horizontal line, we find other pair of linear angles, thus:
13y - 17 + 15x + 7 = 180
Substituting x=4:
13y - 17 + 60 + 7 = 180
Simplifying:
13y + 50 = 180
Subtracting 50:
13y = 180 - 50 = 130
Dividing by 13:
y = 130/13 = 10
y = 10
Answer: x=4, y=10